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Finding the Fourth Proportional to 566.48, 852.77 and 515.45

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Solution

The fourth proportional to 566.48, 852.77 and 515.45 is: 775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 852.77 = 515.45 : x
  2. Step 2: Convert to fraction form
    566.48/852.77 = 515.45/x
  3. Step 3: Cross multiply
    566.48x = 852.77 × 515.45
  4. Step 4: Simplify right side
    566.48x = 439,553.46
  5. Step 5: Solve for x
    x = 439,553.46/566.48
  6. Step 6: Final answer
    x = 775.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.